Primes of the form $x^2 + ny^2$ with $x$ and $y$ prime

Seminar series

Number Theory Seminar

Date

Thu, 17 Oct 2024
16:00

Location

Lecture Room 3

Speaker

Ben Green

Organisation

University of Oxford

If $n$ is congruent to 0 or 4 modulo 6, there are infinitely many primes of the form $x^2 + ny^2$ with both $x$ and $y$ prime. (Joint work with Mehtaab Sawhney, Columbia)